Circles by Jim Smith

Circles by Jim Smith - Transcript

CIRCLES CIRCLES
SECTION 10 1

JIM SMITH JCHS

DEFINITION


A CIRCLE IS A SET OF POINTS EQUIDISTANCE FROM A GIVEN POINT CALLED THE CENTER

PARTS OF A CIRCLE PARTS CENTER
A

PARTS OF A CIRCLE PARTS RADIUS RADII
DISTANCE FROM CENTER FROM TO CIRCLE TO

PARTS OF A CIRCLE PARTS CHORDS
ENDPOINTS ARE ON THE CIRCLE

PARTS OF A CIRCLE PARTS
DIAMETER
A CHORD THAT CONTAINS CONTAINS THE CENTER THE

PARTS OF A CIRCLE PARTS
d 2r r d 2
A

DIAMETERS OF CIRCLES A B and C ARE 14 20 and 10 B

A

XB

Y

C

FIND XB

FIND BY

A

XB Y

FIND XB XB AB AX C XB 10 7 XB 3 FIND BY BY BC CY BY 10 5 BY 5

CIRCUMFERENCE CIRCUMFERENCE
C 2 r or C d
1 FIND FIND

C if r 7 C 2 7 C 14 or 43 96

2 FIND C if d 12 FIND C 12 or 37 68

FIND THE CIRCUMFERENCE
5

EXACT ANSWER NEAREST TENTH
5

5

45 45 90 TRIANGLE d 5 2 EXACT ANSWER C 5 2 5 2 NEAREST TENTH C 22 2

5